What is the total amount received by 2nd, 4th and 9th beggar?
Explanation:
1st beggar received money from – 1st person 2nd beggar received money from – 1st and 2nd persons 3rd beggar received money from – 1st and 3rd persons 4th beggar received money from – 1st, 2nd and 4th persons
… and so on
We can see that the nth beggar will receive amount from those people whose numbers are factors of n.
Amount received by 1st beggar - 1 Amount received by 2nd beggar – 1 + 2 = Rs. 3 Amount received by 3rd beggar – 1 + 3 = Rs. 4 Amount received by 4th beggar – 1 + 2 + 4 = Rs. 7
We can see that the nth beggar will receive amount equal to sum of the factors of n.
∴ Amount received by Beggar 2 ⇒ 1 + 2 = Rs. 3 Beggar 4 ⇒ 1 + 2 + 4 = Rs. 7 Beggar 9 ⇒ 1 + 3 + 9 = Rs. 13
∴ Amount received by beggar 2, 4 and 9 is 3 + 7 + 13 = Rs. 23
Hence, 23.
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